The DOI matches its Crossref record; 3 of the 4 references it cites were found in a registry or an index.
On colliding waves in the Einstein—Maxwell theory
Abstract
An exact solution of the Einstein—Maxwell equations is obtained that represents a space-time which describes consistently the collision between two plane impulsive gravitational waves, each supporting an electromagnetic shock-wave. In obtaining the solution, the relationship, which had been established earlier, between the solutions describing stationary black-holes and solutions describing colliding plane-waves, is extended to the Einstein-Maxwell equations (and exploited). The case when the colliding waves are parallelly polarized is analysed in detail to exhibit the singularities and the discontinuities that occur on the null boundaries characteristic of this problem. It is found that the passage of the waves, prior to collision, produces a spray of gravitational and electromagnetic radiation and the collision results in the scattering and the focusing of the waves and the development of a space—time singularity. The solution that is obtained avoids in a natural way certain conceptual difficulties (such as the occurrence of the ‘square root’ of a δ-function and current sheets) that had been anticipated.
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Cites
Interacting electromagnetic shock waves in general relativity
Bell, P., & Szekeres, P. (1974) · General Relativity and Gravitation · doi:10.1007/bf00770217 · Cited by 118
Colliding Impulsive Gravitational Waves
Nutku, Y., & Halilsoy, M. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.1379 · Cited by 113
Metaphysics of colliding self-gravitating plane waves
Matzner, R. A., & Tipler, F. J. (1984) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.29.1575 · Cited by 56
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Cited by
Sorted by citations
Bounded variation solutions of the spherically symmetric einstein‐scalar field equations
Christodoulou, D. (1993) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160460803 · Cited by 186
The effect of spherical shells of matter on the Schwarzschild black hole
Dray, T., & Hooft, G. ’. (1985) · Communications in Mathematical Physics · doi:10.1007/bf01215912 · Cited by 157
Selected solutions of Einstein's field equations: their role in general relativity and astrophysicsPreprint
Bičák, J. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.gr-qc/0004016 · Cited by 104
A new type of singularity created by colliding gravitational waves
Chandrasekhar, S., & Xanthopoulos, B. C. (1986) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1986.0116 · Cited by 82
Self-citationSelected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics
Bičák, J. (1999) · Lecture notes in physics · doi:10.1007/3-540-46580-4_1 · Cited by 78
Metadata
- Authors
- Chandrasekhar, S., & Xanthopoulos, B. C.
- Affiliations
- University of Chicago (US)
- University of Crete (GR)
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1985-04-09
- Volume
- 398
- Issue
- 1815
- Pages
- 223-259
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2167772722
- Cited by
- 59
- References
- 4
- Citations by year
- 2024: 1 · 2019: 1 · 2018: 3
- FWCI
- 12.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the Royal Society of London A Mathematical and Physical Sciences (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- colliding plane waves, Einstein-Maxwell equations, exact solutions, impulsive gravitational waves, electromagnetic shock waves, black hole solutions, null boundary, spacetime singularities, gravitational waves, electromagnetic radiation, current sheets
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